SOLUTION: Starting from point A, a boat sails due south for 6 mi, then due east for 5 mi, and then due south for 4 mi. How far is the boat from A?

Algebra ->  Points-lines-and-rays -> SOLUTION: Starting from point A, a boat sails due south for 6 mi, then due east for 5 mi, and then due south for 4 mi. How far is the boat from A?      Log On


   



Question 336551: Starting from point A, a boat sails due south for 6 mi,
then due east for 5 mi, and then due south for 4 mi. How
far is the boat from A?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
5 miles East
10 miles South
The two distances form legs of a right triangle.
Use the Pythagorean theorem to find the hypotenuse, the distance from A.
H%5E2=5%5E2%2B100%5E2
H%5E2=25%2B100
H%5E2=125
highlight%28H=5sqrt%285%29%29 miles